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        <a href="." >数值微积分</a>
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                                <h3 id="&#x6570;&#x503C;&#x5FAE;&#x79EF;&#x5206;">&#x6570;&#x503C;&#x5FAE;&#x79EF;&#x5206;</h3>
<p><strong>&#x591A;&#x9879;&#x5F0F;&#x7684;&#x8868;&#x793A;&#x65B9;&#x6CD5;</strong></p>
<p>&#x6BD4;&#x5982;&#xFF1A; f(x)=x^3 - 2x - 5</p>
<p>&#x5728;matlab&#x91CC;&#xFF0C;&#x8BB0;&#x4F5C;&#xFF1A;</p>
<p>p = [1 0 -2 -5];</p>
<p>&#x6CE8;&#xFF1A;&#x77E9;&#x9635;&#x91CC;&#x662F;&#x591A;&#x9879;&#x5F0F;&#x6BCF;&#x9879;&#x524D;&#x7684;&#x7CFB;&#x6570;&#xFF0C;&#x4E0D;&#x5B58;&#x5728;&#x7684;&#x8BB0;&#x4F5C;0</p>
<p><strong>&#x8BA1;&#x7B97;&#x51FA;&#x4E00;&#x4E2A;&#x591A;&#x9879;&#x5F0F;&#x7684;&#x66F2;&#x7EBF;</strong></p>
<p>&#x547D;&#x4EE4;&#xFF1A;polyval(a,x)</p>
<p>&#x5176;&#x4E2D;a&#x662F;&#x591A;&#x9879;&#x5F0F;&#xFF0C;x&#x662F;&#x67D0;&#x4E2A;&#x70B9;</p>
<p>&#x6BD4;&#x5982;&#xFF0C;&#x753B;&#x51FA; 9x^3 - 5x^2 + 3x + 7 &#xFF0C;&#x5728; -2 &lt; x &lt; 5 &#x4E0A;&#x7684;&#x66F2;&#x7EBF;</p>
<p>&#x547D;&#x4EE4;&#xFF1A;</p>
<p>a = [9,-5,3,7]; x = -2:0.01:5;</p>
<p>f = polyval(a,x); </p>
<p>plot(x,f,&apos;LineWidth&apos;, 2);</p>
<p>xlabel(&apos;x&apos;); ylabel(&apos;f(x)&apos;);</p>
<p><img src="img/5-1.jpg" alt=""></p>
<p><strong>&#x5FAE;&#x5206;</strong></p>
<p>For a polynomial
<script type="math/tex; "> 𝑓(𝑥) = 𝑎_𝑛𝑥^𝑛 + 𝑎_(𝑛−1)𝑥^(𝑛−1) + ⋯ + 𝑎1𝑥 + 𝑎0 </script>
the derivative is
&#x1D453;&#x2032; &#x1D465; = &#x1D44E;&#x1D45B;&#x1D45B;&#x1D465;&#x1D45B;&#x2212;1 + &#x1D44E;&#x1D45B;&#x2212;1(&#x1D45B; &#x2212; 1)&#x1D465;&#x1D45B;&#x2212;2 + &#x22EF; + &#x1D44E;1</p>
<p>&#x547D;&#x4EE4;&#xFF1A;polyder()</p>
<p>&#x751F;&#x6210;&#x7684;&#x662F;&#x5FAE;&#x5206;&#x540E;&#x7684;&#x591A;&#x9879;&#x5F0F;</p>
<p>&#x5982;&#xFF1A;</p>
<p>p=[5 0 -2 0 1];
polyder(p)</p>
<p><img src="img/5-2.jpg" alt=""></p>
<p><strong>&#x79EF;&#x5206;</strong> </p>
<p>&#x547D;&#x4EE4;&#xFF1A;polyint()</p>
<p>&#x751F;&#x6210;&#x7684;&#x662F;&#x79EF;&#x5206;&#x540E;&#x7684;&#x591A;&#x9879;&#x5F0F;</p>
<p>&#x5982;&#xFF1A;</p>
<p>p=[5 0 -2 0 1];
polyint(p, 3)</p>
<p><img src="img/5-3.jpg" alt=""></p>

                                
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